Ryan completed a 49-yard pass to Julio Jones to put Atlanta in position to force overtime before a mostly empty stadium.
The drive fell short, the Falcons bitten again by their season-long struggles in the red zone.
Atlanta scored only one touchdown on six trips inside the 20. That included settling for a field goal on their first possession, when they had first-and-goal at the 6, and Smith's decision to go for it on fourth-and-2 from the 7. That failed when Ryan threw it behind White in the flats.
"We're just not executing how we need to in the red zone," Smith said. "We're moving the ball well between the 20s. But we're not ending with touchdowns. You've got to score touchdowns in this league. It's an offensive league."